Rayleigh quotient and left eigenvalues of quaternionic matrices

DOI10.1080/03081087.2022.2094862zbMath1521.15009arXiv2012.03621OpenAlexW3110727865WikidataQ114100546 ScholiaQ114100546MaRDI QIDQ6115880

Enrique Macias-Virgós, María José Pereira-Sáez, Ana D. Tarrío-Tobar

Publication date: 10 August 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03621

zbMATH Keywords

Rayleigh quotientquaternionleft eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Cites Work

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• Geršgorin type theorems for quaternionic matrices
• Symplectic matrices with predetermined left eigenvalues
• A new real structure-preserving quaternion QR algorithm
• Compressed sensing for real measurements of quaternion signals
• A new structure-preserving method for quaternion Hermitian eigenvalue problems
• Quaternionic left eigenvalue problem
• On the eigenvalues of quaternion matrices
• Quaternionic Eigenvalues
• Left eigenvalues of 2 by 2 symplectic matrices
• A topological approach to left eigenvalues of quaternionic matrices
• Distribution of the Ratio of the Mean Square Successive Difference to the Variance
• On left eigenvalues of a quaternionic matrix
• Quaternions and matrices of quaternions

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